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Finding the Third Proportional to 5,042,784 and 11,662,176

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Solution

The third proportional to 5,042,784 and 11,662,176 is: 26,970,488.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,042,784 : 11,662,176 = 11,662,176 : x
  2. Step 2: Convert to fraction form
    5,042,784/11,662,176 = 11,662,176/x
  3. Step 3: Cross multiply
    5,042,784x = 11,662,176 × 11,662,176
  4. Step 4: Simplify right side
    5,042,784x = 136,006,349,054,976
  5. Step 5: Solve for x
    x = 136,006,349,054,976/5,042,784
  6. Step 6: Final answer
    x = 26,970,488.73

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.